9405085113 has 6 divisors (see below), whose sum is σ = 13585122954. Its totient is φ = 6270056736.

The previous prime is 9405085099. The next prime is 9405085127. The reversal of 9405085113 is 3115805049.

9405085113 is a `hidden beast` number, since 94 + 0 + 50 + 8 + 511 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (9405085099) and next prime (9405085127).

It can be written as a sum of positive squares in only one way, i.e., 6129010944 + 3276074169 = 78288^2 + 57237^2 .

It is not a de Polignac number, because 9405085113 - 2⁴ = 9405085097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9405085163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 522504720 + ... + 522504737.

It is an arithmetic number, because the mean of its divisors is an integer number (2264187159).

Almost surely, 2^9405085113 is an apocalyptic number.

It is an amenable number.

9405085113 is a deficient number, since it is larger than the sum of its proper divisors (4180037841).

9405085113 is a wasteful number, since it uses less digits than its factorization.

9405085113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045009463 (or 1045009460 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 9405085113 is about 96979.8180705656. The cubic root of 9405085113 is about 2110.8347896653.

The spelling of 9405085113 in words is "nine billion, four hundred five million, eighty-five thousand, one hundred thirteen".